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Finding the Fourth Proportional to 30,034.14, 44,992.89 and 14,462.70

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Solution

The fourth proportional to 30,034.14, 44,992.89 and 14,462.70 is: 21,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.14 : 44,992.89 = 14,462.70 : x
  2. Step 2: Convert to fraction form
    30,034.14/44,992.89 = 14,462.70/x
  3. Step 3: Cross multiply
    30,034.14x = 44,992.89 × 14,462.70
  4. Step 4: Simplify right side
    30,034.14x = 650,718,670.20
  5. Step 5: Solve for x
    x = 650,718,670.20/30,034.14
  6. Step 6: Final answer
    x = 21,665.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.